Physics Two Dimensional Motion Question 98

Question: A fan is making 600 revolutions per minute.If after some time it makes 1200 revolutions per minute, then increase in its angular velocity is

[BHU 1999]

Options:

A) $ 10,\pi ,rad/\sec $ B)$ 20,\pi ,rad/\sec $ C) $ 40,\pi ,rad/\sec $ D)$ 60,\pi ,rad/\sec $

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Answer:

Correct Answer: B

Solution:

Increment in angular velocity $ \omega =2\pi (n _{2}-n _{1}) $

$ \omega =2\pi (1200-600)\frac{rad}{min}=\frac{2\pi \times 600}{60}\frac{rad}{s} $

$ =20\pi \frac{rad}{s} $